Final Exam Review Questions

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School

Ryerson University

Department

Quantitative Methods

Course

QMS 202

Professor

Jason Chin- Tiong Chan

Semester

Winter

Description

Question#1 The following tables show the five different samples of wireless Internet users from the province of Ontario, and they are classified according to their income and cities of residence. Brampton Income Under $20,000 $20,000 and $40,000 and $60,000 and $80,000 and under $40,000 under $60,000 under $80,000 above Number of 15 135 213 78 31 users Markham Income Under $20,000 $20,000 and $40,000 and $60,000 and $80,000 and under $40,000 under $60,000 under $80,000 above Number of 14 53 185 118 56 users Mississauga Income Under $20,000 $20,000 and $40,000 and $60,000 and $80,000 and under $40,000 under $60,000 under $80,000 above Number of 16 52 125 188 19 users Oshawa Income Under $20,000 $20,000 and $40,000 and $60,000 and $80,000 and under $40,000 under $60,000 under $80,000 above Number of 35 155 183 98 29 users Toronto Income Under $20,000 $20,000 and $40,000 and $60,000 and $80,000 and under $40,000 under $60,000 under $80,000 above Number of 4 135 215 387 259 users At the 5% level of significance should one conclude that the percent of all wireless Internet users with income of at least $60,000 in the city of Toronto is less than the percent of all wireless Internet users with income of at least $60,000 in the city of Brampton? a. What type of parameter(s) is being tested here? (Circle one) 2 2 x 8 8 s s 5 5 p p t z F . 2 b. Define the parameters associated with the test {include the appropriate symbol(s)} 1 www.notesolution.comc. State the hypothesis using statistical symbols. Null Hypothesis: _____________________________ Alternative Hypothesis: _____________________________ d. What is the value of the test statist_________________ e. What is the critical value(s) for this t________________ f. What is the p-value for this tes________________ g. What is the statistical decision and why? 9.0M0#H 9.0M079434H 9.0M0#H 9.0M079434H A A 0 0 because the p-value is than, 2 than , 2 z to , 2 than , than , to , than than z 2, 2, z to 2, h. Construct a graph of the most appropriate distribution clearly showing the critical value(s), test statistic value, and the rejection region i. In non-technical terms what is your conclusion for this test? 2 www.notesolution.com